Representation of faithful normal expectations in von Neumann algebras
نویسندگان
چکیده
منابع مشابه
Various topological forms of Von Neumann regularity in Banach algebras
We study topological von Neumann regularity and principal von Neumann regularity of Banach algebras. Our main objective is comparing these two types of Banach algebras and some other known Banach algebras with one another. In particular, we show that the class of topologically von Neumann regular Banach algebras contains all $C^*$-algebras, group algebras of compact abelian groups and ...
متن کاملNonlinear $*$-Lie higher derivations on factor von Neumann algebras
Let $mathcal M$ be a factor von Neumann algebra. It is shown that every nonlinear $*$-Lie higher derivation$D={phi_{n}}_{ninmathbb{N}}$ on $mathcal M$ is additive. In particular, if $mathcal M$ is infinite type $I$factor, a concrete characterization of $D$ is given.
متن کاملA 1-COHOMOLOGY CHARACTERIZATION OF PROPERTY (T) IN VON NEUMANN ALGEBRAS by JESSE PETERSON
We obtain a characterization of property (T) for von Neumann algebras in terms of 1-cohomology similar to the Delorme-Guichardet Theorem for groups. Throughout this paper N will denote a finite von Neumann algebra with a fixed normal faithful tracial state τ .
متن کاملA Markov dilation for self-adjoint Schur multipliers
We give a formula for Markov dilation in the sense of Anantharaman-Delaroche for real positive Schur multipliers on B(H). The classical theory of semigroups has many applications and connections with ergodic theory martingales and probability (see [12]). The recent developments of the non commutative integration in von Neumann provide analogues of these notions ([1, 5, 6]). For instance, classi...
متن کاملSubmajorization inequalities associated with $tau$-measurable operators
The aim of this note is to study the submajorization inequalities for $tau$-measurable operators in a semi-finite von Neumann algebra on a Hilbert space with a normal faithful semi-finite trace $tau$. The submajorization inequalities generalize some results due to Zhang, Furuichi and Lin, etc..
متن کامل